On the north pole, there is only south, the is no east-west or north. Talk instead of what latitude line the sun is over.

For any 12 hours period, the sun will move 180 degrees The angular speed of the sun is 15 degrees per hour regardless of where on earth you and what time of year. The sun's angular movement is a result of earth's rotation and it orbits around the sun, not the location on earth

Technically it changes a tiny amount because the time between two solar noons are 24 hours +-30s because the orbit is the ecliptic. The rate it move close to the horiont changes a bit to because of atmospheric refraction.

But the general idea of the angular speed of the sun in the sky is very close to 15 degrees per out is very close to correct for any location and day on earth, That is when the sun is in the sky.